2024
DOI: 10.1112/blms.13045
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All meromorphic solutions of the autonomous Schwarzian differential equations

Jie Zhang,
Liangwen Liao,
Chengfa Wu
et al.

Abstract: This paper considers a specific autonomous Schwarzian differential equation given by and presents a complete characterization of its transcendental meromorphic solutions, thus confirming a conjecture posed by Liao and Wu recently. By combining our results with those obtained in a previous paper (Math. Z. 2 (2022), 1657–1672), we are able to explicitly construct all transcendental meromorphic solutions of the autonomous Schwarzian differential equations. Additionally, we identify all nonconstant rational soluti… Show more

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